[1] |
皮佐尔*特尔文,米古尔*拉皮兹*迪亚兹.Steiner选择和算子的集值扩张(Ⅰ)-理论结果[J].应用数学和力学,23(5):507-517.
|
[2] |
Korovkin P P.On convergence of linear positive operators in the space of continuous functions[J].Doklady Akad Nauk SSSR(N S),1953,90:961-964.
|
[3] |
Korovkin P P.Linear operators and approximation theory[A].In:Russian Monographs and Texts on Advanced Mathematics and Physics[C].Vol.Ⅲ.New York:Gordon and Breach Publishers Inc,1959,Delhi:Hindustan Publishing Corp,Delhi 1960.(English version)
|
[4] |
Altomare F,Campiti M.Korovkin Type Approximation Theory and Its Applications.In:De Gruyter Studies in Mathematics[M].Vol.17,Berlin/New York:De Gruyter,1994.
|
[5] |
Altomare F.Lototsky-Schnabl operators on the unit interval and degenerate diffusion equations[A].In:Progress in Functional Analysis[C].Peniscola,1990,North-Holland Math,Stud,170,Amsterdam:North-Holland,1992,259-277.
|
[6] |
Altomare F.On some approximation processes and their associated parabolic problems[J].Rend Sem Mat Fis Milano,1994,61:231-255.
|
[7] |
Clement P,Timmermans C A.On C0-semigroups generated by differential operators satisfying ventcel's boundary conditions[J].Nederl Akad Wetensch Inday Math,1986,48:379-387.
|
[8] |
Favini A,Fuhrman M.Approximation results for semigroups generated by multivalued linear operators and applications[J].Differential Integral Equations,1998,11:781-805.
|
[9] |
Roth W.Korovkin approximation for weighted set-valued functions[J].J Approx Theory,1999,100:94-112.
|
[10] |
Keimel K,Roth W.A Korvkin type approximation theorem for set-valued functions[J].Proc Amer Math Soc,1988,104:819-924.
|
[11] |
Campiti M.A Korovkin type theorem for set-valued Hausdorff continuous functions[J].Matematiche(Catania),1987,42(1-2):29-35.
|
[12] |
Vitale R A.Approximation of convex set-valued functions[J].J Approx Theory,1979,26:301-316.
|
[13] |
Wulbert D E.Convergence of operators and Korovkin's theorem[J].J Approx Theory,1968,1:381-390.
|
[14] |
Lorentz G C.Bernstein Polynomials[M].New York:Chelsea Publishing Co,1986.
|
[15] |
Adell J A,Cal J.De la Bernstein-type operators diminish the φ-variation[J].Constr Approx,1996,12:489-507.
|
[16] |
Neven J.Discrete-Parameter Martingales North-Holland Mathematical Library[M].Vol.10,Amsterdam-Oxford:North-Holland Publishing Co,1975.
|
[17] |
Varadhan S R S.Lectures on Diffusion Problems and Partial Differential Equations[M].In:Tata Institute of Fundamental Research Lectures on Mathematics and Physics,64,Bombay:Tata Institute of Fundamental Research,1980.
|
[18] |
Sikkema P C.Der wert einiger konstanten in der theorie der approximation mit bernstein-polynomen[J].Numer Math,1961,3:107-116.
|
[19] |
Annastasiou G A,Cottin C,Gonska H.Global smoothness of approximation operators[J].Analysis,1991,11:43-57.
|
[20] |
Brown B M,Elliott D,Paget D F.Lipschitz constants for the Bernstein polynomials of a Lipschitz continuous function[J].J Approx Theory,1987,49:196-199.
|
[21] |
Lindvall T.Bernstein polynomials and the law of large numbers[J].Math Scientist,1982,7:127-139.
|
[22] |
Nikolskii S N.Jackson's order of approximation in the problem of approximation of continuous set-valued map[J].Math Balkanica,1991,4:396-400.
|
[23] |
Artstein Z.Piecewise linear approximations of set-valued maps[J].J Approx Theory,1989,56:41-47.
|